Is the vertex angle of an isosceles triangle congruent to the base angles?.

When formula =D2/E2 is enter in Excel spreadsheet then we receive an error which is #DIV/0! .

Excel spreadsheet Error :

Microsoft Excel shows #DIV/0. Error when dividing a number by zero (0). This happens when you enter a simple formula like =5/0, or when the formula refers to a cell that contains 0 or is blank, as shown in this image.

Easiest way to suppress #DIV/0! The error is using the IF function to evaluate the existence of the denominator. If 0 or no value, display 0 or no value as the result of the formula instead of

#DIV/0.

For example, use =IF(A3,A2/A3,0) to return 0 if the formula returning the error is =A2/A3

To learn more about Excel spreadsheet error , refer:

https://brainly.com/question/11995583

#SPJ4

The number 5 can be either a geometric sequence or a arthimetic sequence

A geometric sequence is a series in which each term is found by multiplying the preceding term by the same value. Its general term is. aₙ= a₁rⁿ⁻¹.

The r represents the common ratio, and a is the initial term. r is found by taking any term in the sequence and dividing it by its preceding term.

The example of a geometric sequence with 5 as initial term is

5, 10, 20, 40.....

In an arithmetic sequence, the difference between consecutive terms is always the same.

aₙ = a + (n - 1)d

The example of a arithmetric sequence with 5 as initial term is

5, 7, 9, 11 .....

Therefore, The number 5 can be either a geometric sequence or a arthimetic sequence.

To learn more about series refer here

https://brainly.com/question/24643676

#SPJ4

Answer:

[tex]\huge\boxed{\sf x = 7}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x+11}{2x-5} =2\\\\Multiply \ 2x-5 \ to \ both \ sides\\\\x+11=2(2x-5)\\\\Distribute\\\\x+11=4x-10\\\\Subtract \ x \ to \ both \ sides\\\\11 = 4x-x-10\\\\11=3x-10\\\\Add \ 10\ to \ both \ sides\\\\11+10=3x\\\\21=3x\\\\Divide \ 3 \ to \ both \ sides\\\\7 = x\\\\x = 7\\\\\rule[25]{25}{2}[/tex]

Fractions can be defined as the representation of a part of a whole. A fractions consists of the numerator and the denominator.

let f(x) = [tex]\frac{p}{q}[/tex]

then 'p' represents the numerator; while 'q' represents the denominator;

where p and q belong to integers for simple fractions, while when p and q belong to other sets they can from complex fractions.

To convert a fraction into an integer we need to multiply the fraction with the the denominator so that it cancels out leaving only the numerator behind.

For fractions present in equations to get rid of all the fractions we new to multiply the equation by the LCM of the denominator of all the fractions.

Where LCM is the least common multiple.

To give an example:

let y = [tex]\frac{3}{4}[/tex]X + [tex]\frac{9}{5}[/tex]

Then the LCM for 4 and 5 will be 20;

as factor of 4 are 1,2 and that of 5 are 1,5

then to eliminate the fractions from the equation

Multiplying both sides by 20

y x 20= [tex]\frac{3}{4}[/tex]X x 20 + [tex]\frac{9}{5}[/tex] x 20

20y= 3 x 5X + 9 x 4

20y = 15X + 36

Learn more about Fractions at:

brainly.com/question/28827945

#SPJ4

Implicit or Doubtful memory of actual events that was stored encrypted, but was not retrieved for a long time until subsequent events suddenly brought it back to consciousness. The establishing, stabilizing like processes include in this memory.

Implicit Memory is a type of long-term memory and it is also known as unconscious memory or automatic memory. Implicit memory draws on past experiences to remember things without thinking. The power of tacit memory is made possible by past experiences, regardless of how long ago those experiences were.

Second stage of long-term memory formation.

Implicit memory, a subset of procedural memory, allows you to perform many everyday physical activities, such as walking and cycling, without having to think about it. Most of the implicit storage is procedural in nature.

For example:

To learn more about Implicit Memory, refer:

https://brainly.com/question/15033888

#SPJ4

Answer:

18/25

Step by step explanation:

Answer: 18 cents - 72%

The change in gravitational potential energy of the climber-Earth system,=4.49*10^5j.

According to our question-

Vertical height of climber, h = 540 m

Climbers need to find changes in the gravitational potential energy of the Earth system. We know that gravitational potential energy is generated when an object changes position. It is given as

Hence, The change in gravitational potential energy of the climber-Earth system,=4.49*10^5j.

learn more about  gravitational potential energy click here:

https://brainly.com/question/15896499

#SPJ4

f(xn) = 1 /nq → 0 ,while f(x0) = 1/q != 0

Given ε > 0,

Let N ∈ N such that , N < ε, and let δ = min(δ1, . . . , δN ).

Then if |x − x0| < δ, it means that x is either irrational or of the rational form p/q for some q > N.

Therefore , if |x − x0| < δ, it means

|f(x) − f(x0)| = |f(x)| <  1/N < ε

Rational numbers : when p and q are integers and q is not equal to 0, the representation of a rational number is in the p/q form. The integer p can be either positive, negative, or even zero. Example: 2/3

Irrational numbers are defined as decimal numbers that are not represented in fractional form. The reason for this is that there are countless repeating and non-repeating phrases after the decimal point. Example:  1.414

To learn more about irrational numbers

https://brainly.com/question/23638431

#SPJ4

The 5 positive integers are 3,3,4,4,16, for them mode is 3 and 4, a median is  4 and mean is 6.

The median is a middle number of sequence, more precisely when the series is shorted descending to ascending order the middle term is median.

Let the number 3 repeats m times,

The number 4 repeats n times,

and any other number is x,

Mean of series is 6, therefore,

(3m+4n+x)/5 = 6

3m+4n +x = 30

Since, mode of 5 number is 3 and 4

So, the value of m can be 2 and value of n can also be 2,

3(2) + 4(2) + x = 30

x = 30-14

x = 16

Therefore, the 5 numbers are 3,3,4,4,16

And median for this number is 4 and mean is 6.

To know more about Median on:

https://brainly.com/question/21396105

#SPJ1

The simplified expression of the radical expression ∛54 is 3∛3

Expression:

Expression is also known as equation is the combination of number, variable and the mathematical operator.

Given,

Here we have the radical expression ∛54.

Now, we have to simplify the expression and to find the simplest form of it.

Here we have to radical expression

=> ∛54.

Now, we have to expand this equation, then we get,

=> ∛(27 x 3)

We know that the value of ∛27 = 3,

Therefore, when we apply these on the expression, then we get,

=> 3∛3.

Therefore, the simplified expression is 3∛3.

To know more about Expression here.

https://brainly.com/question/14083225

#SPJ1

The value of angle x is x = 50.5°

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be ΔABC

where AB = 7 cm

AC = 11 cm

∠BAC = x°

Let the angle x = θ

Now , from the trigonometric relations , we know that

sin θ = opposite / hypotenuse

So ,

sin θ = BC / AC

Now ,

From Pythagoras Theorem ,

Hypotenuse² = Base² + Height²

AC² = AB² + BC²

So , substituting the values , we get

BC² = AC² - AB²

BC² = 11² - 7²

BC² = 121 - 49

BC² = 72

BC = √72

BC = 6√2

Therefore , the value of BC is 6√2

Now ,

sin θ = BC / AC

sin θ  = 6√2 / 11

So , the value of θ is

θ = sin⁻¹ ( 6√2 / 11 )

θ = 50.478°

Therefore , the value of θ = 50.5° and x = 50.5°

Hence , The value of angle x is x = 50.5°

To learn more about trigonometric relations click :

https://brainly.com/question/14746686

#SPJ1

Ratio is the relation between two amounts that shows the number of times one value contains within the other.

What is Ratio?

A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of vegetables contains eight tomato and six carrots, the tomato-to-carrot ratio is eight to six (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the proportion of carrots to tomato is 6:8 (or 3:4), while the proportion of tomato to overall fruit is 8:14. (or 4:7). A ratio's numbers can be any quantity, such as a count of persons or things, or measures of lengths, weights, time, and so forth. In most situations, both numbers must be positive.

Solution:

Ratio is the relation between two amounts that shows the number of times one value contains within the other.

To learn more about Ratio from the given link

https://brainly.com/question/2328454

#SPJ4

Using Expanded form formula,

the Expanded form of 1005 is { (1000×1 ) + (1×5)}.

Expanded from:

Breaks a number into its digits and expands to display the value of each digit.

For example, an extended form of 943 is

9 × 100 + 4 × 10 + 3 × 1 = 900 + 40 + 3

Find expanded form:

To write a number in expanded form:

All numbers must be displayed as the product of the number and the digit value.

we have given that,

Number = three power of ten and five = 1000+5

= 1005

Expanded from of given number is

one's place number is 5 and its expanded

from 1× 5

ten's place number is zero and it's expanded form 10×0

hundred's place number is zero and it's expanded form is 100×0

thousand's place number is 1 and it's expanded from is 1,000× 1

so, the expanded from of given number is

= (1,000× 1 ) + (100×0) + (10×0)+(1× 5)

=( 1,000× 1) + (1× 5) = 1,000 + 5

Hence , required form is result occurred.

To learn more about Expanded form, refer:

https://brainly.com/question/351709

#SPJ4

The biconditional statement,

→ If a polygon is a triangle, then the polygon has exactly three sides.

→ If a polygon has exactly three sides then it is a triangle.

Given statement;

If a polygon has three sides, then it is a triangle. If a polygon is a triangle, then it has three sides.

The biconditional of the given statement is,

→ If a polygon is a triangle, then the polygon has exactly three sides.

→ If a polygon has exactly three sides then it is a triangle.

To learn more about polygon click here:

brainly.com/question/24464711

#SPJ4

The 3 representation of sets Semantic form, Roster form and Set builder form

There are varoius types of set notations used for the representation of sets depending upon the way in which the elements are listed. The three set notations used for representing sets are:

a) Semantic form.

The semantic notation describes a statement to show what are the elements of a set.

b) Roster form.

In here, the elements of the sets are enclosed in curly brackets separated by commas.

c) Set builder form.

It uses a vertical bar in its representation, with a text describing the character of the elements of the set.

Therefore, Semantic form, Roster form and Set builder form are the three ways to represent a set.

To learn more about roster form refer here

https://brainly.com/question/13642904

#SPJ4

The solution x is x= 5+√35 and 5-√35

What in mathematics is a quadratic equation?

A quadratic equation, or second-order polynomial equation with a single variable, is x ax2 + bx + c = 0. a 0. Since it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution. The solution could be straightforward or difficult.

x2-10x+25=35

There were two options found:

x =(10-√140)/2=5-√ 35 = -0.916

x =(10+√140)/2=5+√ 35 = 10.916

Rearrange:

Add what is to the right of the equal sign to both sides of the equation, then rewrite the equation as follows:

x^2-10*x+25-(35)=0

Step-by-step answer:

Step 1 :

Attempting factoring by dividing the middle term

Factoring x2 – 10 – 10

x2 is the initial term, and it has a coefficient of 1.

The coefficient of the middle term, which is -10x, is -10.

"The constant," the final word, is -10.

Step 1: Multiply the constant by the coefficient of the first term. 1 • -10 = -10

Step 2 is to identify two factors of -10 whose combined value is equal to the middle term's coefficient, which is -10.

-10 + 1 = -9\s-5 + 2 = -3\s-2 + 5 = 3\s-1 + 10 = 9

No two of these factors can be discovered!!

Trinomial cannot be factored, thus.

Equation following the first step:

Step 2: x2 - 10x - 10 = 0.

Finding the Vertex of a Parabola:

2.1 Locate the vertex of y = x2 – 10x – 10.

The Vertex is the highest or lowest point of a parabola. Our parabola widens, and as a result, it has a lowest point, also known as the absolute minimum. We are aware of this even before graphing "y," as the first term's coefficient, 1 is a positive number (greater than zero).

A vertical line of symmetry runs across the vertex of every parabola. The line of symmetry would, for instance, run through the middle of the two x-intercepts (roots or solutions) of the parabola as a result of this symmetry. If the parabola actually has two true solutions, that is.

Many real-world scenarios, such as the height of an object thrown into the air that has risen after some time, can be modeled using parabolas. We can learn information from the parabola's vertex, such as the highest height an object thrown upwards can travel. We need to be able to determine the vertex's coordinates for this purpose.

Learn more about quadratic equation

https://brainly.com/question/1214333

#SPJ1

The data can be thought of as a random sample from the population of interest. So the option a is correct.

In the given question we have to find the most important condition for sound conclusions from statistical inference is usually.

The given statements are:

(a) the data can be thought of as a random sample from the population of interest.

(b) the population distribution is exactly Normal.

(c) the data contain no outliers.

The results of the hypothesis testing will still be accurate even if the population distribution is not perfectly normal, according to the Central Limit Theorem.

Statistical techniques can be used to identify and prevent outliers if the data contains them.

However, the results of the hypothesis testing will not be reliable for non-random samples.

The data can be thought of as a random sample from the population of interest. So the option a is correct.

To learn more about statistical inference link is here

brainly.com/question/3640262

#SPJ4

The right question is:

The most important condition for sound conclusions from statistical inference is usually that

(a) the data can be thought of as a random sample from the population of interest.

(b) the population distribution is exactly Normal.

(c) the data contain no outliers.

Answer:

Time when Jessie starts doing her he: 4:30

Time talked to complete the hw : 40minutes

Time Jessie finishes the hw: 5:10

The expression represents a  model with 4 rows of 7 squares, representing 28 acres, and 2 rows of 7 squares, representing 14 acres will be 28 + 14 = 7 (4 + 2). The correct option is D.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a model with 4 rows of 7 squares, representing 28 acres, and 2 rows of 7 squares, representing 14 acres.

The expression will be written as,

28 + 14 = 7 (4 + 2)

Therefore, the expression represents a  model with 4 rows of 7 squares, representing 28 acres, and 2 rows of 7 squares, representing 14 acres will be 28 + 14 = 7 (4 + 2). The correct option is D.

To know more about an expression follow

https://brainly.com/question/16370957

#SPJ1

Jason's down payment is calculated to be 41250 if he bought the house for 275,000

Down payment is a term used to describe an initial payment made when something is bought on credit.

The original price of the house that Jason Aldeen bought is 275,000. Jason made a down payment of 15%. This means Jason Aldeen paid 15% of the original cost of the house. Therefore,

Jason's down payment is 15% of $275000

Down payment = 15% × 275,000

Down payment = 15/100 × 275000

Down payment = 0.15×275000

Down payment = 41250

Therefore; the down payment on the house bought by Jason Aldeen is calculated to be 41250

To learn more about down payment; click here:

https://brainly.com/question/26173748

#SPJ4

If Archer can paint a room in 4 hours, while Ollie can do it in 3 hours. If they work together then it will take 206 minutes to paint two rooms.

What is the relation between work and time?

Work Problems are word problems that involve different people or entities doing work but at different rates.

Work = Efficiency x Time

According to the given question:

Archer paints a room in = 4 hours

Work done by him in an hour =1/4

Ollie paints a room in = 3 hours

Work done by him in an hour = 1/3

So, work done by them in an hour W = (1/4 +1/3)= 7/12.

They both will complete the work in = 1/W

= 1/7/12

= 12/7 hours

≈ 103 minutes

Therefore it take 103 minutes to paint one room together.

To paint two rooms it will take 103 x 2 = 206 minutes together.

To know more about work problems visit

https://brainly.com/question/14675081

#SPJ4

The standard deviation of X is about 2.38.

Suppose X is normally distributed with mean of 5. If P (X ≤ 3) = 0.2

We need to find the standard deviation of X

We can use a z-table or a graphing calculator to find the z-value that is associated with a probability to 0.20 (you should get a z-value of about z = -0.84). Then use the z-value formula

z = (x−μ) /σ

−0.84 = (3−5) /σ

−0.84 = −2/σ

σ = -2/-0.84

σ  = 2.38

Solving for the standard deviation ( σ ) you should get a value of about 2.38. Therefore, the standard deviation of X is about 2.38.

To learn more about normal distribution refer here

https://brainly.com/question/4079902

#SPJ4

The solution to this system of equations is x = 5 and y = 2.

Given:

5x + 2y = 29 and  x + 4y = 13.

on solving eq 1 - 5*eq 2:

5x + 2y - 5(x+4y) = 29  - 13*5

5x + 2y - 5x - 20y = 29 - 65

2y - 20 y = 29 - 65

-18y = -36

18y = 36

divide by 18 on both sides

18y/18 = 36/18

y = 36/18

y = 2

substitute y = 2

5x+2y =  29

5x + 2*2 = 29

5x + 4 = 29

5x = 29-4

5x = 25

divide by 5 on both sides

x = 25/5

x = 5

Learn more about the equations here:

https://brainly.com/question/10413253

#SPJ1

We get the flawless quarte trinomial, finish the quadrilateral is (q+5/12)² we can say as a quadratic equation is q²+ 5/6q+---.

Given that,

The equation is q²+ 5/6q+---

We have to find to create a flawless quarte trinomial, finish the quadrilateral.

We know that,

Take the equation

q²+ 5/6q+---

By adding some thing we get the quadratic equation.

The missing term we add is 5/2×6

We get

q²+ 5/6q+(5/6×2)²

q²+ 5/6q+(5/12)²

We can write as

(q+5/12)²

Therefore, we get the flawless quarte trinomial, finish the quadrilateral is (q+5/12)² we can say as a quadratic equation is q²+ 5/6q+---.

To learn more about quadratic visit: https://brainly.com/question/22364785

#SPJ4

If an outfit consists of 1 shirt, 1 pair of pants, 1 tie and a pair of shoes, then 144 different outfits Ayden can make.

In the given question we have to find how many different outfits can ayden make.

Ayden has 6 shirts, 4 pairs of pants, 3 ties, and 2 pairs of shoes.

We have to choose outfit for interview consists of 1 shirt, 1 pair of pants, 1 tie and a pair of shoes.

We have to choose 1 shirt and he has 6 shirts. So he can choose different shirts in 6 ways.

Similarly;

We have to choose 1 pair of pants and he has 4 pair of pants. So he can choose different pair of pants in 4 ways.

We have to choose 1 tie and he has 3 ties. So he can choose different ties in 3 ways.

We have to choose one pair of shoes and he has 2 pair of shoes. So he can choose different pair of shoes in 2 ways.

So the total different outfits that he select = 6*4*3*2 = 144

To learn more about probability link is here

brainly.com/question/18915036

#SPJ4

Answer:  4 hours and 10 minutes per week

Step-by-step explanation:

She exercises for 5 days per week (week days only).

(5/6 hr/day) x 5 days = 25/6 = 4.17 hours = 4 hours and 10 minutes per week

The absolute maximum value of the given function f(x) = 2x is 8.

Given, a function f(x) = 2x

we have to find the absolute maximum value of the function f(x) = 2x in x,

0 ≤ x ≤ 4

So, as it is clear that the given function is a one-one function and therefore it is either increasing or decreasing function.

then, the given function f(x) = 2x will be maximum at the maximum value in the domain of the function i.e. 4.

So, the absolute maximum value be

f(4) = 2(4)

f(4) = 8

8 is the absolute maximum value of the given function f(x) = 2x.

Hence, the absolute maximum value of the given function f(x) = 2x is 8.

Learn more about Application of Derivatives here https://brainly.com/question/25120629

#SPJ4

The value of m from the above expression  is  - 100

Learn more about algebra at

brainly.com/question/17067240

In the given expression 1/4 m + 9 = -16, the m is equal to -100.

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is,

1/4 m + 9 = -16,

Simplify the expression to find the value of m,

1/4 m  = -16 - 9

1/4 m = -25

m = -100

The value of m for the given expression 1/4 m + 9 = -16, is -100.

To know more about Algebraic expression on:

https://brainly.com/question/19245500

#SPJ2

The total number of different colorings possible are c)3120.So, correct option is c.

We know very well that Probability is the defined  as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We need to take care that each vertex of convex pentagon has been assigned a color.

We are given that we can choose 6 colors , and we need to take care that the ends of each diagonal must have different colors.

So, we need to try all different combinations,

Let PQRST are the vertex of the pentagon.

Let vertex P be any vertex, then vertex Q be one of the diagonal vertices to P, R be one of the diagonal vertices to Q, and so on. We consider cases for this problem.

In the case that,

R has the same color as P,

S has a different color from P

and so,

T has a different color from P and S.

In this case, the choices are

P = 6

Q = 5

R = 1

S = 5

T = 4

So, total number of combinations are =6 x 5 x 1 x 5 x 4 = 600 combinations.

Similarly, R has a different color from P and

S has a different color from P,

In this kind of situations,

P has 6 choices,

Q has 5 choices,

R has 4 choices

S has 4 choices,

and T has 4 choices,

So, total number of combinations  is

=> 6 x 5 x 4 x 4 x 4 = 1920

Next case,  R has a different color from P and S has the same color as P, So,

P has 6 choices,

Q has 5 choices,

R has 4 choices,

S has 1 choice, and

T has 5 choices,

=> total number of combinations=6 x 5 x 4 x 1 x 5 = 600

On Adding all those combinations up, we get

=> 600 + 1920 + 600 = 3120

Hence, total colorings are c)3120.

To know more about Probability, visit here:

https://brainly.com/question/29381779

#SPJ4

(Complete question) is:

Each vertex of convex pentagon $ABCDE$ is to be assigned a color. There are $6$ colors to choose from, and the ends of each diagonal must have different colors. How many different colorings are possible?

A.2520 B.2880 C.3120 D.3250 E.3750

Answer:

36

Step-by-step explanation:

5(x-y)=18

5x-5y=18

To make it 10x-10y we multiply entire equation by 2

5x-5y=18

*2. *2.  *2

10x+10y=36

Hopes this helps please mark brainliest